Research

In preparation

A note on the Doignon-Bell-Scarf theorem. With Babak Badri Koohi.
Extensions of subadditive duality for conic MIPs. With Burak Kocuk and Gustavo Angulo.
Improving the balance and variance of covariates trough an optimal non stochastic treatment assignment. With Jorge Rivera and Juan Diaz.
Domination of split sets in the 0-1 hypercube. With Santanu S. Dey, Marco Molinaro and Yatharth Dubey.
Proximity Results In Mixed-integer Second Order Conic Programming. With Burak Kocuk.
Optimization methods for experimental design. With Jacqueline Meza and Rodolfo Carvajal.
On optimal MTZ-like formulations for the Asymmetric TSP. With Gustavo Angulo.

Lattice closures of polyhedra. Math. Program. 181, 119–147 (2020). With Sanjeeb Dash and Oktay Günlük. [PDF] [DOI]
On subadditive duality for conic mixed-integer programs. SIAM J. Optim., 29(3), 2320–2336. With Burak Kocuk. [PDF] [DOI]
On the polyhedrality of closures of multi-branch split sets and other polyhedra with bounded max-facetwidth. SIAM J. Optim., 27(3), 1340–1361. With Sanjeeb Dash and Oktay Günlük. [PDF] [DOI]
Closedness of integer hulls of simple conic sets. SIAM Journal on Discrete Mathematics, 30(1), 70-99. With Santanu S. Dey. [PDF] [DOI]
On the polyhedrality of cross and quadrilateral closures. Mathematical Programming, 2016. With Sanjeeb Dash and Oktay Günlük. [PDF] [DOI]
Mathematical models for optimizing production chain planning in salmon farming. International Transactions in Operational Research (ITOR), Volume 20, Issue 5, pages 731–766. With Fernanda Bravo, Andrés Weintraub, Guillermo Durán, Abilio Lucena and Javier Marenco. [DOI]
Some properties of convex hulls of integer points contained in general convex sets. Mathematical Programming. With Santanu S. Dey. [PDF] [DOI]
Strong dual for conic mixed-integer programs. SIAM Journal on Optimization 22. pp. 1136-1150. With Santanu S. Dey and Juan Pablo Vielma. [PDF] [DOI]
On maximal S-free convex sets. SIAM Journal on Discrete Mathematics, 25, 379-393. With Santanu S. Dey. [PDF] [DOI]

A polynomial-time algorithm to check closedness of simple second order mixed-integer sets. IPCO 2013, Lecture Notes in Computer Science 7801, pp 266-277. With Santanu S. Dey. [DOI]
On some generalizations of the split closure. IPCO 2013, Lecture Notes in Computer Science 7801, 145-156. With Sanjeeb Dash and Oktay Günlük. [DOI]